The engine works fine, save for the heat in the cable going to the gearbox.
There is no grease or oil in the motor (perhaps a dab at the very bottom of the axle against the casing).
I suspect old grease in the gearbox. I will open it and check. If the old grease acts like a brake, I can understand the heating around the wire, inside the plastic cover.
I was servicing window motor gearboxes the other day, and only a few had very dry and hard grease. Most seemed OK, though I chose to remove the old, clean and fill with fresh grease.
I still cannot understand why BMW changed from the very fast sardine engines with separate gearboxes, to the later integrated ones. The difference in speed of windows going up and down is remarkable. Twice as fast on the old ones (providing the window channels, gearboxes, motor etc are in good shape.
The sad thing is that the early ones require the early doors, in order to mount them.